Causal geometry of Einstein-Vacuum spacetimes with finite curvature flux

被引：43

作者：

Klainerman, S ^{[1
]}

Rodnianski, I ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

INVENTIONES MATHEMATICAE | 2005年 / 159卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s00222-004-0365-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

One of the central difficulties of settling the L-2-bounded curvature conjecture for the Einstein-Vacuum equations is to be able to control the causal structure of spacetimes with such limited regularity. In this paper we show how to circumvent this difficulty by showing that the geometry of null hypersurfaces of Enstein-Vacuum spacetimes can be controlled in terms of initial data and the total curvature flux through the hypersurface.

引用

页码：437 / 529

页数：93

共 18 条

[1] Quasilinear wave equations and Strichartz estimations [J].